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Finding the Fourth Proportional to 12,141.76, 16,752 and 7,421.20

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Solution

The fourth proportional to 12,141.76, 16,752 and 7,421.20 is: 10,239.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.76 : 16,752 = 7,421.20 : x
  2. Step 2: Convert to fraction form
    12,141.76/16,752 = 7,421.20/x
  3. Step 3: Cross multiply
    12,141.76x = 16,752 × 7,421.20
  4. Step 4: Simplify right side
    12,141.76x = 124,319,942.40
  5. Step 5: Solve for x
    x = 124,319,942.40/12,141.76
  6. Step 6: Final answer
    x = 10,239.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.